MATH 51: Differential Equations

A Differential Equations class focuses on equations involving derivatives, emphasizing how quantities change and applying this understanding to real-world phenomena. Students learn to classify and solve ordinary differential equations using analytical methods, such as separation of variables and integrating factors. The course covers theoretical concepts such as existence and uniqueness theorems, stability analysis, and qualitative methods, and advances to systems of equations and nonlinear dynamics. Emphasis is placed on mathematical reasoning and problem-solving, equipping students to analyze and solve dynamic systems across various disciplines.